Can you solve the buried treasure riddle? - Daniel Griller

3,245,811 views ・ 2018-03-22

TED-Ed


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翻译人员: Frank Wang 校对人员: Monkey Luffy
“一切都是谜,一个谜的答案是另一个谜。” ——拉尔夫·沃尔多·爱默生,《生化的准则·幻觉》
00:06
After a massive storm tears through the Hex Archipelago,
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一场强烈的暴风雨袭击六角群岛后,
00:10
you find five grizzled survivors in the water.
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你在海上发现了 五名战战兢兢的生还者。
00:14
Shivering their timbers,
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恐惧发抖的生还者说
00:16
they explain that they’re the former crew of the great pirate Greenbeard,
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他们是绿胡子大海盗的前水手。
00:20
who marooned them after they tried to mutiny.
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他们因为叛变而被放逐。
00:24
Each was bound up in a different spot on a small island,
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他们每人原本被捆绑 在一座小岛上的不同位置,
00:27
until the storm washed them out to sea.
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后来暴雨来袭才被冲到海中。
00:30
In gratitude for saving them, they reveal a secret:
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为了报答你拯救他们, 他们向你揭示一个秘密:
00:33
the island they were on is also where Greenbeard has buried his treasure hoard.
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他们被捆绑的岛屿上 藏着绿胡子的宝藏。
00:39
But when the sailors try to describe the island, something seems off.
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但是,当水手尝试描述该岛屿时, 每个人所给的描述却不一。
00:44
All agree it was flat and barren with no prominent features except for some trees.
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每人都同意该岛平坦而且荒芜, 除了一些树木就没有其他明显的特征。
00:51
Yet each pirate claims they saw a different number of trees,
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但是每一位海盗却说 他们看见不同数量的树,
00:55
ranging from two to six.
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数目从两棵到六棵不等。
00:57
The pirate who saw two trees says the treasure was buried right at his feet.
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看到两棵树的海盗说 宝藏就藏在他的位置之下。
01:02
When you fly your hot air balloon over the area to investigate,
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当你升起热气球搜索该海域时,
01:05
you see hundreds of small islands, each with exactly six trees.
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你看到上百座小岛, 每座都有六棵树。
01:11
The next storm will be here soon,
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下一场暴雨即将来袭,
01:13
so you’ll have to hurry and narrow your search.
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你必须把握时机,把搜索范围缩小。
01:16
What does the island with Greenbeard’s treasure look like from the sky?
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绿胡子宝藏所在的小岛 的俯视图是怎么样的呢?
01:19
And where will the treasure be on that island?
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而且宝藏会在该岛的什么位置呢?
01:27
Pause here if you want to figure it out for yourself!
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如果你想事先自己解答, 请在这儿暂停播放视频。
01:31
Answer in 3
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答案:三秒
01:33
Answer in 2
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答案:两秒
01:34
Answer in 1
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答案:一秒
01:35
It might seem like the pirates are delirious from dehydration.
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那些海盗似乎因脱水而神志不清。
01:39
But that’s not what’s going on.
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但事实并非如此。
01:41
Remember, each was confined to a separate point on the island,
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记得,每一位海盗都 被绑在该岛的某一位置,
01:45
and no two of them could see the same number of trees.
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而且他们每位都看见不同数目的树。
01:49
That means that for all but one pirate, something was blocking their view.
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这表示他们当中 只有一位的视野是不被阻挡的。
01:53
And since there are no other features on the island,
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既然岛上没有其他特征,
01:56
that something could only have been other trees.
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阻挡他们视野的只有岛上其他的树。
02:01
A pirate would see fewer trees when two or more
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从海盗的观点来看, 如果两棵或以上的树
02:04
fell along a straight line from their vantage point.
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排成直线,那位海盗可看见的树 的数目就变少了。
02:08
So we need to find the island
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所以我们想要找的岛屿
02:09
where five different pirates standing in different spots
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必须当五位海盗位于不同的位置时,
02:12
would each see a different number of trees.
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每位所看到的树的数目将会不一样。
02:16
Virtually every island has a position from which you can see six trees.
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几乎所有岛屿都有一个位置 是可以看到所有六棵树的。
02:21
And on most islands there’s a position where 5 trees can be seen
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而且大多数岛屿也有个位置 是可以看到五棵树的,
02:25
by standing in line with two of them.
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尤其是其中两棵排成一条线。
02:28
It turns out that the hardest locations to find are those with fewer visible trees
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最难找到的则是可观察的树木 比较少的位置,
02:33
precisely because they require more trees to line up with the viewer’s position.
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原因是因为从观察者的观点, 这些位置需要更多的树木排列成线。
02:39
So how can we see just two trees?
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那么一个人怎么可以只看到两棵树呢?
02:42
One way would be if all the trees were lined up in single file,
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其中一种排法是如果所有的树 都排成一条线,
02:45
such as on this island.
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跟这座小岛的一样。
02:47
Then, you could stand at the end of the line and see one,
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这样,如果你站在尾端, 就可看到一棵树,
02:50
stand in the middle and see two,
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站在中间就可看到两棵,
02:52
or stand anywhere else and see all six.
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或站在任何其他位置看到六棵。
02:56
But there’s no place from which you can see only three,
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但是这种排法却无法看到三棵、
02:59
four,
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02:59
or five,
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四棵、
或五棵树。
03:00
so one straight line of trees is out.
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所以所有树木排成一条线是不可能的。
03:04
So what about two lines of trees?
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如果所有的树木排成两排呢?
03:06
So long as the lines aren’t parallel and they intersect over land,
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只要这两排树不是平行的, 而且它们的交叉点是在岛上,
03:10
there’ll always be a position where the two lines converge
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总有个位置, 也就两条线交汇的地方
03:14
from which you could see exactly two trees.
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你是可以看到两棵树的。
03:17
And if they’re grouped two and four,
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如果排列是两棵和四棵、
03:19
or three and three,
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或两排各三棵、
03:21
there are many arrangements in which you could also see three,
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该岛就有不同的位置能让你看到三棵、
03:24
four,
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四棵、
03:25
five,
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五棵、
03:27
and six trees.
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或六棵树。
03:29
Fortunately for us, there’s only one island in the archipelago
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很幸运的,群岛上只有一座岛
03:33
with two non-parallel lines of trees,
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有两排树是非平行的,
03:36
and it’ll be buried at the intersection of the two lines.
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宝藏就埋在这两排树的交叉点。
03:41
You land on this island and dig up a chest containing a massive pile of tree seeds,
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你在这座岛上着陆,把箱子挖出来, 发现里面装着一大堆树种,
03:47
ready for planting.
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随时供播种使用。
03:49
Was this treasure really worth all that trouble?
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这个宝藏值得你费力搜寻吗?
03:51
That’s a matter of perspective.
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这要看你的观点了。
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